Question

Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5). brainly

Answer 1

since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.

When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis. 

short version: distance is positive, and its adding the distances from the x axis to get distance from each other

Answer 2

The reason |−3| + |9| represents the distance between (−3, −5) and (9, −5) is because both points lie on the same horizontal line that cuts across the y-axis at y = -5.

Recall:

• The coordinates of a point on a graph is given as (x, y). x is on the x-axis and y is on the y-axis.

Therefore, if we are given two points as (-3, -5) and (9, -5), it means that both points lie on the same line that cuts the y-axis at y = -5, while the distance between both points are from x = -3 to x = 9 on the x-axis.

Therefore, the reason |−3| + |9| represents the distance between (−3, −5) and (9, −5) is because both points lie on the same horizontal line that cuts across the y-axis at y = -5.

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